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Finding the Fourth Proportional to 2,711.22, 3,744.57 and 1,825.49

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Solution

The fourth proportional to 2,711.22, 3,744.57 and 1,825.49 is: 2,521.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.22 : 3,744.57 = 1,825.49 : x
  2. Step 2: Convert to fraction form
    2,711.22/3,744.57 = 1,825.49/x
  3. Step 3: Cross multiply
    2,711.22x = 3,744.57 × 1,825.49
  4. Step 4: Simplify right side
    2,711.22x = 6,835,656.37
  5. Step 5: Solve for x
    x = 6,835,656.37/2,711.22
  6. Step 6: Final answer
    x = 2,521.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.